/sci/ - Science & Math » Thread #13707548

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Anonymous Sat 02 Oct 13:17:51 2021 No.13707548 View Reply Original Report

Quoted By: >>13717948

>Math doesn't agree with my tranny theories
>Let's invent an axiom so I can be right
How did they get away with it?

Anonymous

Anonymous Sun 03 Oct 2021 14:51:30 No.13711318 Report

Quoted By: >>13723499

It never occurred to me that AC rejection was simply brainlet incel bitterness, but now that you hinted at it, it really sounds obvious.

Anonymous

Anonymous Sun 03 Oct 2021 14:54:58 No.13711331 Report

Quoted By: >>13711345

>>13711262
1

Anonymous

Anonymous Sun 03 Oct 2021 14:58:13 No.13711345 Report

Quoted By: >>13711359

>>13711331
1 is finite.

Anonymous

Anonymous Sun 03 Oct 2021 15:04:13 No.13711359 Report

Quoted By: >>13711390

>>13711345
1 is the uncountable (infinite) set of all cauchy sequences of rationals which converge to 1 (the rational number). at least according to my definition. what is your definition which implements the real number 1 as something finite?

Anonymous

Anonymous Sun 03 Oct 2021 15:14:34 No.13711390 Report

Quoted By: >>13711449

>>13711359
>1 is the uncountable (infinite) set of all cauchy sequences of rationals which converge to 1 (the rational number).
1 is represented by the equivalence class, yes. But 1 is finite since it's less than aleph0.

Anonymous

Anonymous Sun 03 Oct 2021 15:32:16 No.13711435 Report

Quoted By:

>>13711220
Fucking retard never heard bout Dedekind cuts

Anonymous

Anonymous Sun 03 Oct 2021 15:32:55 No.13711438 Report

Quoted By: >>13712859

>>13711270
it exists? where?

Anonymous

Anonymous Sun 03 Oct 2021 15:35:35 No.13711449 Report

Quoted By: >>13712461

>>13711390
so {aleph0} is not a set?

Anonymous

Anonymous Sun 03 Oct 2021 15:36:17 No.13711451 Report

Quoted By: >>13711469

>>13711301
Do you know how a real number is defined bro? Each is an equivalence class of Cauchy sequences of rationals, which is an infinite set.

Anonymous

Anonymous Sun 03 Oct 2021 15:43:52 No.13711469 Report

Quoted By: >>13711493

>>13711451
>an infinite set.
There is no such thing.

Anonymous

Anonymous Sun 03 Oct 2021 15:54:49 No.13711493 Report

Quoted By: >>13711502

>>13711469
Deluded if not troll

Anonymous

Anonymous Sun 03 Oct 2021 16:00:19 No.13711502 Report

Quoted By: >>13712465

>>13711493
>waaah! waaaah! you can't just reject this imaginary object!!!!!!!!!

Anonymous

Anonymous Sun 03 Oct 2021 21:41:21 No.13712461 Report

Quoted By:

>>13711449
it isnt

Anonymous

Anonymous Sun 03 Oct 2021 21:42:30 No.13712465 Report

Quoted By: >>13712483

>>13711502
>rejects all of real analysis and complex analysis and functional anlysis
>but actually youre the schizo lol

Anonymous

Anonymous Sun 03 Oct 2021 21:49:16 No.13712483 Report

Quoted By:

>>13712465
>functional anlysis
there is also finite functional analysis. it's the analysis of finite dimensional vector spaces over a finite field over dimension larger than the largest possible natural number.

Anonymous

Anonymous Sun 03 Oct 2021 22:56:37 No.13712660 Report

Quoted By:

>>13711220
imagine posting this lmao

Anonymous

Anonymous Sun 03 Oct 2021 23:06:09 No.13712680 Report

Quoted By: >>13712698 >>13712720 >>13712722

>>13709944
A set is like god. Nobody has a precise definition of what it means, they just list a bunch of properties they want that mythical being to satisfy so they feel happier about themselves. In the case of god, it's being omniscient, omnibenevolent and omnipotent. In the case of a set, it's satisfying the flavor-of-the-day axioms ZFC.

Anonymous

Anonymous Sun 03 Oct 2021 23:13:32 No.13712698 Report

Quoted By:

>>13712680
And both are correct.

Anonymous

Anonymous Sun 03 Oct 2021 23:15:00 No.13712703 Report

Quoted By:

>>13709944
A collection that can belong to a collection.

Anonymous

Anonymous Sun 03 Oct 2021 23:24:00 No.13712719 Report

Quoted By:

>>13707648
Aww, can't the engineering chads cobble together better bait than that without mathlets' help?

Anonymous

Anonymous Sun 03 Oct 2021 23:24:34 No.13712720 Report

Quoted By:

>>13712680
a set *is* this list of properties

Anonymous

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Anonymous Sun 03 Oct 2021 23:25:33 No.13712722 Report

Quoted By:

>>13712680
>A set is like god. Nobody has a precise definition of what it means, they just list a bunch of properties they want that mythical being to satisfy so they feel happier about themselves.

Anonymous

Anonymous Sun 03 Oct 2021 23:28:45 No.13712729 Report

Quoted By: >>13719911 >>13722253

>>13709944
A set is a thing $x$ for which, for any $y$ , $y \in x$ is well-defined, and for which there exists $z$ such that $x \in z$ .

Anonymous

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Anonymous Sun 03 Oct 2021 23:41:35 No.13712755 Report

Quoted By: >>13715270 >>13719944

>implying math isn't entirely based on arbitrary axioms

Anonymous

Anonymous Mon 04 Oct 2021 00:36:21 No.13712846 Report

Quoted By: >>13722282

set theory is gay, all of math is gay, its irredeemably vague just like literally everything constructed out of """"logic""""" LOL! yeah thank the faggot greeks for that one. we'll never understand the true nature of reality, our brains were designed to survive on the african savvana, not understand what exactly the fuck is going on and what we're in or what kind of entities we actually. why cant humans just accept this fact and move the fuck on?

Anonymous

Anonymous Mon 04 Oct 2021 00:40:58 No.13712859 Report

Quoted By:

>>13711438
>where?
Nonsense question.

Anonymous

Anonymous Mon 04 Oct 2021 18:15:55 No.13715270 Report

Quoted By: >>13715283 >>13716706

>>13712755
ZF(C) is a patchwork of bizarrely related axioms, whose justification is quite murky. If you pick some modern presentation of logic as based on e.g. type theory, things become much more meaningful.

No having a computational interpretation of your foundation in 2021 is refined faggotry.

Anonymous

Anonymous Mon 04 Oct 2021 18:21:54 No.13715283 Report

Quoted By: >>13717846

>>13715270
>muh curry-howard
>muh constructivism
The type theorists fears the Y combinator.

Anonymous

Anonymous Tue 05 Oct 2021 02:46:51 No.13716706 Report

Quoted By: >>13717849

>>13715270
There *is* a guiding intuition behind the ZFC axioms: it's called the iterative conception of sets.

Anonymous

Anonymous Tue 05 Oct 2021 11:56:37 No.13717846 Report

Quoted By:

>>13715283
... no? Turing completeness is one way out of the imcompleteness theorem. Girard yadda yadda.

Anonymous

Anonymous Tue 05 Oct 2021 11:57:38 No.13717849 Report

Quoted By: >>13719920

>>13716706
Not everybody is a retard who lives in V = L.

Anonymous

Anonymous Tue 05 Oct 2021 12:39:04 No.13717948 Report

Quoted By: >>13719425 >>13719944

>>13707548
Read about Zorn's lemma, you retarded fuck

Anonymous

Anonymous Tue 05 Oct 2021 19:25:38 No.13719425 Report

Quoted By:

>>13717948
Can you enlighten us with your /sci/ retardedness, anon? This is too cryptic even for a schizo like me.

Anonymous

Anonymous Tue 05 Oct 2021 22:06:40 No.13719911 Report

Quoted By: >>13719926

>>13712729
What about the empty set?

Anonymous

Anonymous Tue 05 Oct 2021 22:07:55 No.13719920 Report

Quoted By:

>>13717849
That has nothing to do with what I said.

Anonymous

Anonymous Tue 05 Oct 2021 22:08:56 No.13719926 Report

Quoted By: >>13722253

>>13719911
Which condition do you think it violates?

Anonymous

Anonymous Tue 05 Oct 2021 22:11:50 No.13719944 Report

Quoted By:

>>13712755
>>13717948
It's another person who thought they grasped mathematics getting filtered by set theory. Happens often!

Anonymous

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Anonymous Wed 06 Oct 2021 14:31:50 No.13722115 Report

Quoted By: >>13723029

Yes, I accept the axiom of determinacy why do you ask

Anonymous

Anonymous Wed 06 Oct 2021 14:33:33 No.13722118 Report

Quoted By:

>>13707773
You're fitting in :)

Anonymous

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Anonymous Wed 06 Oct 2021 14:45:23 No.13722161 Report

Quoted By:

>tfw can't entertain the logical implications of seemingly absurd axioms without just for the fun of it

Anonymous

Anonymous Wed 06 Oct 2021 15:26:59 No.13722253 Report

Quoted By: >>13723328

>>13719926
>>13712729
>and for which there exists zz such that x?zx?z.

Anonymous

Anonymous Wed 06 Oct 2021 15:37:50 No.13722282 Report

Quoted By:

>>13712846
>Just accept our inability to truly comprehend reality and move on
What do you think math is, anon? Would you prefer we go back to the African savanna?

Anonymous

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Anonymous Wed 06 Oct 2021 21:04:50 No.13723029 Report

Quoted By:

>>13722115
Hello DST king. Yes, I assume there are infinitely many Woodin Cardinals with a measurable above them all.

Anonymous

Anonymous Wed 06 Oct 2021 23:15:12 No.13723328 Report

Quoted By: >>13723355

>>13722253
Consider z = {{}}.

Anonymous

Anonymous Wed 06 Oct 2021 23:24:54 No.13723355 Report

Quoted By:

>>13723328
Cranks do not want to consider sets with only a single element.
They want to think up infinite sets that they can
use to raise strawmans.

Anonymous

Anonymous Thu 07 Oct 2021 00:24:29 No.13723479 Report

Quoted By:

>>13707756
Yes
t. Wildberger

Anonymous

Anonymous Thu 07 Oct 2021 00:32:17 No.13723498 Report

Quoted By: >>13723502

>>13711274
One definition of real numbers is as an infinite set of rational numbers. How can that definition be true and you not be a Mini Tooker?

Anonymous

Anonymous Thu 07 Oct 2021 00:32:49 No.13723499 Report

Quoted By:

>>13711318
See >>13709140

Anonymous

Anonymous Thu 07 Oct 2021 00:35:04 No.13723502 Report

Quoted By: >>13723514

>>13723498
ALL definitions are like that. It's IMPOSSIBLE to define the "reals" in terms of finite sets.

Anonymous

Anonymous Thu 07 Oct 2021 00:40:21 No.13723514 Report

Quoted By:

>>13723502
OK, right. Mores the point.

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